If the capacitance of a parallel plate capacitor is C, what will be the capacita

If the capacitance of a parallel plate capacitor is C, what will be the capacitance if the distance between the plates is doubled? (2020)

If the capacitance of a parallel plate capacitor is C, what will be the capacitance if the distance between the plates is doubled? (2020)

Step 1: Understand that the capacitance (C) of a parallel plate capacitor is calculated using the formula C = εA/d, where ε is the permittivity of the material between the plates, A is the area of the plates, and d is the distance between the plates.
Step 2: Identify that in this question, we are doubling the distance (d) between the plates.
Step 3: When the distance (d) is doubled, the new distance becomes 2d.
Step 4: Substitute the new distance (2d) into the capacitance formula: C' = εA/(2d).
Step 5: Notice that C' = (1/2) * (εA/d), which means C' = C/2.
Step 6: Conclude that if the distance between the plates is doubled, the new capacitance will be half of the original capacitance.

Capacitance of Parallel Plate Capacitor – The capacitance (C) of a parallel plate capacitor is determined by the formula C = εA/d, where ε is the permittivity of the dielectric material, A is the area of the plates, and d is the distance between the plates.